Physical Properties of Crystals: Their Representation by Tensors and Matrices |
From inside the book
Results 1-3 of 16
Page 9
... direction cosines : ' New ' ' Old ' X1 X2 Xx3 x1 a11 a12 a13 x2 a21 22 23 ( 11 ) xz a31 32 33⋅ Thus , for example , the direction cosines of x2 with respect to x1 , x2 , x3 are α21 , ɑ22 , A23 , and the direction cosines of x , with ...
... direction cosines : ' New ' ' Old ' X1 X2 Xx3 x1 a11 a12 a13 x2 a21 22 23 ( 11 ) xz a31 32 33⋅ Thus , for example , the direction cosines of x2 with respect to x1 , x2 , x3 are α21 , ɑ22 , A23 , and the direction cosines of x , with ...
Page 26
... direction cosines of E referred to general axes , so that E ; El . The component of j parallel to E is ( j.E ) / E , or in suffix notation ( j ; E ) /E.† Therefore the conductivity in the direction l ; is = or , σ = ji Eij Ej Ei E ; E2 ...
... direction cosines of E referred to general axes , so that E ; El . The component of j parallel to E is ( j.E ) / E , or in suffix notation ( j ; E ) /E.† Therefore the conductivity in the direction l ; is = or , σ = ji Eij Ej Ei E ; E2 ...
Page 33
... direction cosines a . We remarked in § 2.1 of Chapter I that , for a transformation from one orthogonal set of axes Ox , to another set Ox ; given by X1 X2 X3 x1a11 12 a12 α13 x2 a21 a2z a23 X3 A31 A32 33 x3a31 ( 1 ) the nine ...
... direction cosines a . We remarked in § 2.1 of Chapter I that , for a transformation from one orthogonal set of axes Ox , to another set Ox ; given by X1 X2 X3 x1a11 12 a12 α13 x2 a21 a2z a23 X3 A31 A32 33 x3a31 ( 1 ) the nine ...
Contents
THE GROUNDWORK OF CRYSTAL PHYSICS | 3 |
3 | 29 |
EQUILIBRIUM PROPERTIES | 51 |
23 other sections not shown
Common terms and phrases
angle anisotropic applied axial B₁ biaxial birefringence centre of symmetry Chapter coefficients components conductivity constant crystal classes crystal properties crystal symmetry cube cubic crystals D₁ defined denoted diad axis dielectric dijk direction cosines displacement electric field ellipsoid equal equation example expression follows forces given grad H₁ H₂ heat flow Hence hexagonal indicatrix isothermal isotropic k₁ magnetic magnitude matrix notation measured moduli monoclinic number of independent Onsager's Principle optic axis optical activity orientation orthorhombic Ox₁ P₁ parallel Peltier permittivity perpendicular photoelastic photoelastic effect piezoelectric effect plane plate polarization positive principal axes produced pyroelectric effect quadric radius vector referred refractive index relation representation quadric represents right-handed rotation S₁ scalar second-rank tensor shear shown strain stress symmetry elements Table temperature gradient thermal expansion thermodynamics thermoelectric effects Thomson heat tion transformation law triclinic trigonal uniaxial values wave normal x₁ zero әт